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pith:LCFX3BOL

pith:2025:LCFX3BOLXV42K7IIXRERCPDT4I
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A Unique Bosonic Symmetry in a 4D Field-Theoretic System

R. P. Malik

In 4D Abelian gauge theories a unique bosonic symmetry is built from four off-shell nilpotent BRST transformations when all four Curci-Ferrari restrictions hold.

arxiv:2512.15540 v4 · 2025-12-17 · hep-th

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4 Citations open
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Claims

C1strongest claim

We show the existence of a unique bosonic symmetry transformation that is constructed from the four infinitesimal, continuous and off-shell nilpotent symmetry transformations which exist for the BRST quantized versions of the coupled Lagrangian densities.

C2weakest assumption

The proof of the uniqueness of the above bosonic symmetry transformation operator crucially depends on the validity of all the four Curci-Ferrari type restrictions that exist on our theory.

C3one line summary

A unique bosonic symmetry transformation exists in the 4D Abelian 3-form plus 1-form gauge theory system, built from BRST, co-BRST, anti-BRST and anti-co-BRST operators when all four Curci-Ferrari restrictions hold.

Receipt and verification
First computed 2026-06-04T01:08:38.036608Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

588b7d85cbbd79a57d08bc49113c73e2184f2a613bc59c5135b02c51a5b14194

Aliases

arxiv: 2512.15540 · arxiv_version: 2512.15540v4 · doi: 10.48550/arxiv.2512.15540 · pith_short_12: LCFX3BOLXV42 · pith_short_16: LCFX3BOLXV42K7II · pith_short_8: LCFX3BOL
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Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/LCFX3BOLXV42K7IIXRERCPDT4I \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 588b7d85cbbd79a57d08bc49113c73e2184f2a613bc59c5135b02c51a5b14194
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "06b0f42f62369cceacfe0377c299aa4b759b31f78be41e154a1787308b5da5b8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-12-17T15:48:05Z",
    "title_canon_sha256": "46faa664c909d0d3a77a1c6e6258692d1f802703461f34ccdcabd5b0d6941a99"
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  "source": {
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    "kind": "arxiv",
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